Elementary Number Theory Problems. Part XV – Diophantine Equations
By: Karol Pąk and Artur Korniłowicz
References
- Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8 17.
- Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.
- Wenpai Chang, Hiroshi Yamazaki, and Yatsuka Nakamura. The inner product and conjugate of finite sequences of complex numbers. Formalized Mathematics, 13(3):367–373, 2005.
- Leonard Eugene Dickson. History of Theory of Numbers, Volume II; Diophantine Analysis. Carnegie Institution, 1920.
- Adam Grabowski. Elementary number theory problems. Part VI. Formalized Mathematics, 30(3):235–244, 2022. doi:10.2478/forma-2022-0019.
- Artur Korniłowicz and Adam Naumowicz. Elementary number theory problems. Part V. Formalized Mathematics, 30(3):229–234, 2022. doi:10.2478/forma-2022-0018.
- Alfred Moessner. General formulae for constructing and solving certain simultaneous equations. The Mathematics Student, 3, 1936.
- Louis J. Mordell. Diophantine Equations. Academic Press, 1969.
- Adam Naumowicz. Elementary number theory problems. Part I. Formalized Mathematics, 28(1):115–120, 2020. doi:10.2478/forma-2020-0010.
- Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer, 2020. doi:10.1007/978-3-030-53518-6 22.
- Andrzej Schinzel. Démonstration d’une conséquence de l’hypothèse de Goldbach. Compositio Mathematica, 14:74–76, 1959.
- Wacław Sierpiński. Elementary Theory of Numbers. PWN, Warsaw, 1964.
- Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970.
- Wacław Sierpiński. Sur les décompositions de nombres rationells en fractions primaires. Mathesis, 65:16–32, 1956.
- Rafał Ziobro. Prime factorization of sums and di erences of two like powers. Formalized Mathematics, 24(3):187–198, 2016. doi:10.1515/forma-2016-0015.
Language: English
Page range: 93 - 110
Accepted on: Nov 8, 2024
Published on: Dec 12, 2024
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
Related subjects:
© 2024 Karol Pąk, Artur Korniłowicz, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.